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Total differential

  • Thread starter hex.halo
  • Start date
  • #1
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Homework Statement



For:
z(x,y)=(x^2)y-3y
Find [tex]\Delta[/tex]z and dz when x=4, y=3, [tex]\Delta[/tex]x=-0.01, [tex]\Delta[/tex]y=0.02

Homework Equations





The Attempt at a Solution



I got the partial derivatives:

df/dx=2xy, and df/dy=x^2-3

and solved dz=0.02

However, I don't know how to find [tex]\Delta[/tex]z
 

Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
26,258
618
Delta z is the true difference. z(3.99,3.02)-z(4,3).
 

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